【摘要】 <正>1 引言如所知,光滑函数方法被广泛地应用于计算机辅助几何设计(CAGD),有限元(FEC) 及散乱数据插值与拟合(Scattered data fitting and interpolation)等领域．在应用该方法过程中,有关光滑或切触插值格式及其显式表达式问题的研究是至关重要的一个方面．然而,插值多项式的存在唯一性问题是必须首先解决的一个基本问题．更多还原

【Abstract】 In this paper, some problem on bivariate osculatory interpolation by polynomial is studied. The concepts of strong H-basis and osculatory interpolation along a plane algebraic curve are proposed. As a result, the general methods for constructing the unisolvent set for bivariate osculatory interpolation in R2 and along a plane algebraic curve are deduced, respectively, which generalizes the main results acquired by H.A. Hakopian, Borislar Bojanov and Xu Yuan in 2002 and 2003, respectively.更多还原